How to determine the absolute and local max min of a graph

The video tutorial covers the concepts of relative and absolute maxima and minima, explaining how to identify them on a graph. It differentiates between local and absolute points, emphasizing the importance of context in determining whether a point is a maximum or minimum. The tutorial also introduces the concept of bounded functions, explaining how a function can be bounded above or below by its absolute maximum or minimum. The lesson concludes with a brief mention of homework assignments.

What is the main difference between an absolute maximum and a relative maximum?

• Both are the highest points in a local area.

• Both are the highest points overall.

• A relative maximum is the highest point overall, while an absolute maximum is the highest point in a local area.

• An absolute maximum is the highest point overall, while a relative maximum is the highest point in a local area.

If a graph is inverted, what do we call the lowest point?

• Relative minimum

• Absolute maximum

• Absolute minimum

• Local maximum

What term is used for a maximum point that is not the highest point overall?

• Absolute minimum

• Local maximum

• Absolute maximum

• Global maximum

Why is a local minimum not considered an absolute minimum?

• Because it is the lowest point overall.

• Because the graph continues to decrease beyond this point.

• Because it is the highest point in a local area.

• Because it is the lowest point in a local area.

What does it mean for a function to be bounded?

• It only has relative maxima and minima.

• It has no maximum or minimum values.

• It is not defined for certain values.

• It does not exceed certain maximum or minimum values.